S-Duality, Noncritical Open String and Noncommutative Gauge Theory

Abstract

We examine several aspects of S-duality of four-dimensional noncommutative gauge theory. By making duality transformation explicit, we find that S-dual of noncommutative gauge theory is defined in terms of dual noncommutative deformation. In `magnetic' noncommutative U(1) gauge theory, we show that, in addition to gauge bosons, open D-strings constitute important low-energy excitations: noncritical open D-strings. Upon S-duality, they are mapped to noncritical open F-strings. We propose that, in dual `electric' noncommutative U(1) gauge theory, the latters are identified with gauge-invariant, open Wilson lines. We argue that the open Wilson lines are chiral due to underlying parity noninvariance and obey spacetime uncertainty relation. We finally argue that, at high energy-momentum limit, the `electric' noncommutative gauge theory describes correctly dynamics of delocalized multiple F-strings.

Latex, 12 pages, 2 eps figures, version to appear in Phys. Lett. B

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• On Duality Rotations in Light-Like Noncommutative Electromagnetism
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• Modified Star-Products Beyond the Large-B Limit
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• SL(2;R) Duality of the Noncommutative DBI Lagrangian